The problem lies in the fact that the lighter 44 bullets lack sectional density which adversly affects ballistic coefficient. Which means they shed velocity faster so that extra 200 fps at the muzzle may only be 100fps at 100 yards and gone by 200 yards. Your best bet for flat shootins is goinng to be Hornady's FXT and even then it's going to require kentucky windage much past 150 yards.
I would have thought one of the Hornady XTP's would get this vote. Everything I read about them says over and over they are all the rage for accuracy. I would think it has something to do with the thin jacket walls with the soft lead core, but I won't swear to that. Nor would I swear it would be best for hunting.